stopbound_post: The stopping boundaries based on Thall and Simon's criterion

In ph2bayes: Bayesian Single-Arm Phase II Designs

Description

The stopping boundaries based on Thall and Simon's criterion.

Usage

stopbound_post(theta, type, nmax, alpha_e, beta_e, alpha_s, beta_s, delta)

Arguments

theta	the cutoff probability: typically, θ = [0.95, 0.99] for superiority, θ = [0.01, 0.05] for futility.
type	type of boundaries: "superiority" or "futility".
nmax	the maximum number of patients treated by the experimental drug.
alpha_e	the hyperparameter (shape1) of the Beta prior for the experimental drug.
beta_e	the hyperparameter (shape2) of the Beta prior for the experimental drug.
alpha_s	the hyperparameter (shape1) of the Beta prior for the standard drug.
beta_s	the hyperparameter (shape2) of the Beta prior for the standard drug.
delta	the minimally acceptable increment of the response rate for the experimental drug compared with the standard drug. Note: if type = "superiority", then delta is set to 0.

Value

boundset

the boundaries set; U_n or L_n

References

Thall, P. F., Simon, R. (1994). Practical Bayesian guidelines for phase IIB clinical trials. Biometrics 50: 337-349.

Yin, G. (2012). Clinical Trial Design: Bayesian and Frequentist Adaptive Methods. New York: Wiley.

Examples

stopbound_post(0.05, "futility", 40, 0.6, 1.4, 15, 35, 0)
stopbound_post(0.05, "futility", 30, 0.4, 1.6, 10, 40, 0)
stopbound_post(0.95, "superiority", 40, 0.6, 1.4, 15, 35, 0)

Example output

    n bound
1   1    NA
6   6     0
13 13     1
18 18     2
24 24     3
29 29     4
35 35     5
40 40     6
    n bound
1   1    NA
7   7     0
19 19     1
29 29     2
    n bound
1   1    NA
3   3     3
4   4     4
6   6     5
8   8     6
10 10     7
13 13     8
15 15     9
17 17    10
19 19    11
22 22    12
24 24    13
26 26    14
29 29    15
31 31    16
34 34    17
36 36    18
38 38    19

ph2bayes documentation built on May 2, 2019, 3:20 p.m.